Testing for changes in polynomial regression

dc.creatorAue, Alexander
dc.creatorHorváth, Lajos
dc.creatorHušková, Marie
dc.creatorKokoszka, Piotr
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:12:26Z
dc.date.available2026-07-07T10:12:26Z
dc.descriptionWe consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value distribution of a maximum-type test statistic which is asymptotically equivalent to the maximally selected likelihood ratio. The resulting test is easy to apply and has good size and power, even in small samples.
dc.descriptionPublished in at http://dx.doi.org/10.3150/08-BEJ122 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
dc.identifierhttps://arxiv.org/abs/0810.4012
dc.identifierhttp://arxiv.org/abs/0810.4012
dc.identifierBernoulli 2008, Vol. 14, No. 3, 637-660
dc.identifierdoi:10.3150/08-BEJ122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172180
dc.subjectStatistics Theory
dc.titleTesting for changes in polynomial regression
dc.typetext

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